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2020220202 = 2371113379091
BaseRepresentation
bin111100001101010…
…0001110100101010
312012210101211010110
41320122201310222
513114134021302
6532244155150
7101030405550
oct17032416452
95183354113
102020220202
119473a8380
12484698ab6
13262706a90
1415243dbd0
15bc558b6c
hex786a1d2a

2020220202 has 128 divisors (see below), whose sum is σ = 5572159488. Its totient is φ = 471225600.

The previous prime is 2020220197. The next prime is 2020220227.

2020220202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217677 + ... + 226767.

It is an arithmetic number, because the mean of its divisors is an integer number (43532496).

Almost surely, 22020220202 is an apocalyptic number.

2020220202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786079744).

2020220202 is an abundant number, since it is smaller than the sum of its proper divisors (3551939286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2020220202 is a wasteful number, since it uses less digits than its factorization.

2020220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2020220202 is about 44946.8597568284. The cubic root of 2020220202 is about 1264.1527969995.

It can be divided in two parts, 20202 and 20202, that added together give a palindrome (40404).

The spelling of 2020220202 in words is "two billion, twenty million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 9091 10101 10582 15873 17094 18182 20202 27273 31746 37037 54546 63637 74074 100001 111111 118183 127274 190911 200002 222222 236366 300003 336367 354549 381822 600006 672734 700007 709098 827281 1009101 1300013 1400014 1654562 2018202 2100021 2354569 2481843 2600026 3700037 3900039 4200042 4372771 4709138 4963686 7063707 7400074 7800078 8745542 9100091 11100111 13118313 14127414 18200182 22200222 25900259 26236626 27300273 30609397 48100481 51800518 54600546 61218794 77700777 91828191 96200962 144301443 155401554 183656382 288602886 336703367 673406734 1010110101 2020220202